What is the Greatest Common Factor of 42476 and 42490?

Greatest common factor (GCF) of 42476 and 42490 is 14.

GCF(42476,42490) = 14

We will now calculate the prime factors of 42476 and 42490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42476 and 42490.

How to find the GCF of 42476 and 42490?

We will first find the prime factorization of 42476 and 42490. After we will calculate the factors of 42476 and 42490 and find the biggest common factor number .

Step-1: Prime Factorization of 42476

Prime factors of 42476 are 2, 7, 37, 41. Prime factorization of 42476 in exponential form is:

42476 = 2² × 7¹ × 37¹ × 41¹

Step-2: Prime Factorization of 42490

Prime factors of 42490 are 2, 5, 7, 607. Prime factorization of 42490 in exponential form is:

42490 = 2¹ × 5¹ × 7¹ × 607¹

Step-3: Factors of 42476

List of positive integer factors of 42476 that divides 42476 without a remainder.

1, 2, 4, 7, 14, 28, 37, 41, 74, 82, 148, 164, 259, 287, 518, 574, 1036, 1148, 1517, 3034, 6068, 10619, 21238

Step-4: Factors of 42490

List of positive integer factors of 42490 that divides 42476 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 607, 1214, 3035, 4249, 6070, 8498, 21245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42476 and 42490. The biggest common factor number is the GCF number.
So the greatest common factor 42476 and 42490 is 14.

Also check out the Least Common Multiple of 42476 and 42490